Impressum partitionlengths.g   Sprache: unbekannt

#############################################################################
##
#W  partitionlengths.g            GAP4 Package `RCWA'             Stefan Kohl
##
##  List of lengths of shortest respected partitions of the groups
##  generated by 3 class transpositions which interchange residue classes
##  with moduli <= 9. Unbound entries stand for wild groups.
##
return
[,,[,[]],[,[],[]],[,[],[],[]],[,[],[],[],[]],
 [,[],[],[],[],[]],[,[],[],[],[],[,,4],[]],
 [,[],[],[],[,,,4],[],[,,,5],[]],
 [,[],[],[],[],[],[,4,,5],[],[,,,5,,,5]],
 [,[],[],[],[],[],[],[],[],[]],
 [,[],[],[],[,12],[],[,13],[,,,,,13],[],[,15,,,,,,,19],[]],
 [,[],[],[],[],[],[],[,,16],[],[],[],[]],
 [,[],[],[],[,9],[,,12],[,,,15],[,,12,,,10],[,,,14,,,15],
   [,,,15,,,14,,15],[6],[,10,,,,13,17,13],[,,12,,,,48]],
 [,[],[],[],[,15],[],[,21],[,,13],[,,,,21,,27],[],
   [,,,,,,,10],[,14,,,,,19,11],[,,14,,,,46,16],[]],
 [,[],[],[],[,27,,28],[,,22],[,20,,33],[,,18],[,,,,48,,37],
   [,,,39,,,32,,61],[,,,,,,,18],[,16,,,,23,21,17],[,,18,,31,,44,24],
   [],[]],[,[],[],[],[,,,21],[],[,,,27],[,,13],[],
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   [,,12,,17,,24,12,,,,5],[,,16,,,,26,20,,,,6]],
 [,[],[],[],[],[],[,,,39],[,,18,,,22],[,,,46,44],
   [,,,37,,,36,,49],[],[],[,,,,28,,,14],[,,16,,,22,23,22,,47,,,5],
   [,43,20,,,,30,16,,,,,6],[,45,22,51,21,32,31,22,55,55,,,7],[]],
 [,[],[],[],[],[,,13],[,,,27],[],[],[,13,,25],[,,,,16],
   [,11,,,13,14,15,,,17],[,,13,,,,40],[],[,,11,,15,,,,,,4,5,6],[],
   [8,,11,,,,20,,,,,5,,,5],[,36,17,,,23,25,,,,,,6,,6]],
 [,[],[],[],[,36],[],[],[,,16],[],[],[,,,,,,,12],
   [,20,,,,,,13],[,,18,,,,,18],[],[],[,,14,,29,,,,,,5,6,7],
   [,,16,,,,,14,,,,6,,,,6],[,73,24,,,,,18,,,,,7,,,7],[]],
 [,[],[],[],[],[],[],[,,16],[],[],[],[],[,,12,,29,,,14],
   [,,12,,,,48,,,,,,5],[,,,,,,46,16,,,,,6],[,,,,,,44,24,,,,,7],[],
   [,,,,28,,,14,,,,,5,5,6,7],[,,13,,,,40,,,,,,6,,6,,,6],
   [,,24,,31,,,18,,,,,7,,,7,,7]],
 [,[],[],[],[,,,44],[,,22],[],[,,16],[,,,46,,,41],
   [,,,35,,,30],[,,,,,,,12],[,16,,,,23,25,13],[,,18,,,,56],[],[],
   [22,15,14,31,19,22,23,18,35,33,5,6,7],[,,16,,,,30,,,,,6,,,,6],
   [,,22,55,21,32,31,22,51,51,,,7,,,7],[],
   [,24,14,,28,,,12,,,5,6,7,,,5,6,7],[,,,,,,56,,,,,,7,,,7,,7,,7]],
 [,[],[],[],[],[],[],[],[],[,,,,,,7],[12,,,,23],[],[],
   [12,,,,,,,,,,12],[],[36,,,,41,60,42,,,50,38],[16,,,,22,,27,,,27,,,,17],
   [36,,,,,,,,,80,,,,,,44],[16,,,,18,31,23,,,31,17,,,,,,16],[],
   [,,,,91,,106,,,,,,,,,42,,30,51],[36,,,,,,,,,,,,,,,30,53,48,,,46]],
 [,[],[],[],[],[],[],[,,,,,7],[],[],[],[],[],
   [,,,,,21,,21],[,,,,,,,18],[,,,,,37,,31],[,,,,,,,19,,,,,,13,14,21],
   [,,,,,,,26,,,,,,17,18,29],[,,,,,23,,,,,,,,,14,,15,19],
   [,,,,,,,27,,,,,,,,22,24],[,,,,,,,47,,,,,,39,40,47,,,39,45],
   [,,,,,37,,27,,,,,,,,19,21,29,,22,47],[]],
 [,[],[],[],[,6],[],[,7],[],[,,,,7,,8],[,7,,,,,8,,8],[],
   [,17,,,23,39,23,,23,25],[],[,17,,,18,,25,,22,,,20],
   [,21,,,29,,35,,29,,,22],[,25,,,42,86,35,,59,59,,27],
   [,,,,29,,34,,,34,,23,,24,27,31],[,51,,,62,,55,,66,,,,,46,56,56],
   [,17,,,25,42,24,,,23,,19,,,26,,23,48],[,29,,,60,,,,,,,31,,,,,41,89],
   [,,,,115,,152,,,,,,,52,47,51,,52,43,69],
   [,27,,,,,,,56,53,,30,,,,28,34,62,,36,68],[],[]],
 [,[],[],[],[,6,,7],[,,7],[,7,,8],[,,7,,,7],[,,,7,7,,8],
   [,7,,8,,,7,,8],[12,,,,,,,16],[,17,,,,21,22,16,26,24],[,,31,,,,,36],
   [12,17,14,22,17,19,22,19,22,22,12,11,24],[],[],[],
   [,79,45,82,73,57,52,40,88,84,,,28],
   [,17,16,,,21,,,,22,14,13,28,,,,,27],[,,36,,,,,31,,,,28,36,,,,,46],
   [,,31,,,,,36,,,,,26,24,,,,28,28,36],
   [,49,40,84,73,57,54,43,82,84,36,27,54,,,,,,,28,46],
   [4,,,,5,,6,,,6,12,,,12,,,,56,,,,56],[,,,,,6,,6,,,,,,11,,,,33,13,29,,31],
   [,5,,,6,,7,,6,7,,17,,17,,,,61,17,52,77,41]],
 [,[],[],[],[,9,,10],[,,10],[,10,,11],[,,10,,,10],
   [,,,10,10,,11],[,10,,11,,,10,,11],[30,,,,39,,,24],
   [,24,,,25,31,31,23,30,29],[,,34,,115,,,38],[],
   [,41,22,,,,,22,50,,25,16,33],[],[28,,31,40,29,,,31,,38,,25],
   [,95,40,90,79,48,46,34,96,90,,,26,,21],
   [28,,23,33,34,31,28,,,31,21,18,29,,16,,25,23],
   [,,50,,99,,,42,,,50,41,46,,,,72,50],[,,,,,,84,38,,,,,34,,33,,,26,29,58],
   [,69,58,94,81,84,82,58,96,94,44,41,52,,,,66,52,,44,52],
   [6,,,,7,,8,,,8,20,,,,,,23,37,22,,44,51],
   [,,,,,8,,8,,,,,,,15,,23,22,17,38,60,40],
   [,7,,,8,,9,,8,9,,21,,,27,,29,48,,64,,50],[]],
 [,[],[],[],[],[],[],[,,14],[,,,7],[],[12,,,,,,,20],
   [,,,,,,,24],[,,30,,,,,36],[12,,20,,,,,,,,12,15,20],
   [,23,27,,,,,,29,,15,18,23],[,25,36,46,,,,,58,,20,23,28],
   [,,,27,,,,27,,,,16,,15,18,23],[,,,,,,,36,,,,,20,20,23,28],
   [,25,24,,,,,,,,15,18,23,,16,,18,23],
   [,33,36,,,,,28,,,20,23,28,,,20,23,28],
   [,,28,,,,,36,,,,,20,20,23,28,,20,23,28],
   [,,36,,,,,40,,,20,23,28,,,20,23,28,,20,28],
   [4,,,,,,,,,,12,,,12,,32,16,,,,38],[],
   [,5,,,,,,,6,,,,,27,22,25,21,,23,32,51],
   [4,5,,6,,,,,6,,12,17,,12,,,,32,16,,28,34,4,,5],
   [,7,,8,,,,,8,,24,20,32,,20,,,25,21,,27,43,5,,6]],
 [,[],[],[],[],[],[],[,,7],[],[],[],[,,,,,,,20],[],
   [,,18,,,,,,,,,17],[],[,,32,,,,,,,,,29],[,,25,,,,,25,,,,21,,19,,31],
   [,,,,,,,32,,,,,,27,,39],[,,20,,,,,,,,,19,,,,,21,29],[],[],
   [,,32,,,,,,,,,29,,,,27,31,39],[],[,,,,,,,6,,,,,,15,,27,19,,17,,,27],
   [],[,,6,,,,,6,,,,15,,13,,,,39,15,,,39,,5],
   [,,8,,,,,8,,,,19,,,,,,28,19,,,48,,6],[]],
 [,[],[],[],[,6,,7],[],[],[,,18],[,,,8,7],[,7,,8,,,,,8],
   [30,,,,21,,,55],[,22,,,18,,,31,34,22],[,,46,,39,,,50],
   [,18,,26,17,,,,,22,,23],[,29,78,,21,,,36,35,,28,,69],
   [,40,86,51,33,,,,73,50,,35,39],[28,,36,32,21,,,,,27,,21,,24,24],
   [,86,,67,35,,,52,69,64,,,36,40,,38],
   [28,23,33,30,18,,,,,28,20,20,55,,23,,20],
   [,54,50,,39,,,46,,,86,,38,,,33],[,,,,39,,,103,,,,,40,52,,44,,41,,46],
   [,,52,69,35,,,100,67,48,66,54,42,,,32,58,38,,36,51],
   [6,,,,5,,,,,6,19,,,26,,37,20,,18,,77],[],
   [,6,,,6,,,,7,7,,22,,18,28,38,25,54,23,51,88],
   [,6,,7,5,,,,7,6,18,17,78,17,,,,39,20,,44,61,5,,6],
   [6,8,20,9,7,,,,9,8,23,21,38,,27,,25,44,23,52,51,56,6,,7],[],[]],
 [,[],[],[],[],[,,7],[],[],[],[],[],[,,,,,23],[,,27],
   [,,18,,,,,,,,,17],[,,18,,,,,,,,16,14,24],[,,26,,,,,,,,,19],
   [,,19,,,,,,,,,15,,19,14,21],[,,31,,,37,,,,,,,22,27,20,29],[],[],
   [,,27,,,,,,,,,,22,,24,,,22],[,,28,,,,,,,,38,23,46,,,23,23,29,,,46],[],
   [,,,,,6,,,,,,,,15,14,21,16,21,,,40,23],[],
   [,,6,,,6,,,,,13,13,29,13,,,,31,,,29,33,,5],
   [,,8,,,8,,,,,18,17,28,,15,,23,24,,,28,42,,6],[],
   [,,6,,,,,,,,,17,,13,,,19,27,,,,,,5,,5,6],[]],
 [,[],[],[],[,6,,7],[],[,7,,8],[],[],[,7,,8,,,8],[],
   [,17,,,,42,23,,,27],[,,,,60,,55],[,17,,22,18,,,,,28,,20,35],[],
   [,,,,58,,47,,,71,57,39,67],[,,,27,27,,32,,,32,,,,22,,43],
   [,79,,56,,,,,,59,,,36,28,,56],[,17,,23,23,39,24,,,23,20,19,31,,,,21,30 
    ],[],[,,,,60,,60,,,,,,35,35,,53,,32,30],
   [,49,,66,62,,57,,,,,48,89,,,46,52,62,,,60],[],[],
   [,5,,,6,16,7,,,7,,17,,17,,,21,45,17,,37,45],
   [,5,,6,6,,7,,,7,,17,48,17,,,,43,17,,,43,,,5],
   [,,,8,8,20,9,,,9,22,23,38,,,,27,32,21,,30,52,,,6],
   [,5,,6,,,,,,,,23,32,,,43,20,,,,27,,,,5,5,6],[],
   [,6,,7,6,,,,,7,,,51,18,,52,24,,22,,49,54,,,6,6,7],[]],
 [,[],[],[],[,9,,10],[,,10],[,10,,11],[,,10,,,10],
   [,,,10,10,,11],[,10,,11,,,10,,11],[,,,,,,,24],
   [,24,,,27,31,31,23,33,33],[,,42,,57,,70,46],
   [,41,32,46,41,46,46,46,46,46,30,23,72],[,,24,,37,,44,24,,,,17],
   [,,54,76,67,78,60,62,136,,50,35,46],[32,,29,,33,,38,29,,42,,21],
   [,91,48,94,51,60,54,42,64,94,,,30,,,38],
   [32,38,23,30,32,31,30,,,31,21,18,33,,17,,21,27],
   [,,46,,60,,,42,,,,33,34,,,38,,34],[,,96,,,,101,46,,,,,35,72,,42,,30,33],
   [,51,42,64,51,60,54,46,94,64,38,27,34,,,33,,28,,30,34],
   [6,,,,7,,8,,,8,,,,26,,52,21,53,22,,,33],
   [,,,,,8,,8,,,,,,23,17,39,21,30,17,34,58,30],
   [,7,,,8,20,9,,8,9,,21,,31,30,47,33,60,23,51,,40],[],
   [6,7,8,8,7,8,8,8,8,8,16,15,32,,15,,21,32,15,42,32,,5,6,6],
   [,7,,8,,,,,8,,,20,41,27,21,43,21,31,20,41,33,31,5,,6,,5],
   [,,8,,,,,8,,,,19,,28,,48,,36,19,,,36,,6,,,6],
   [6,8,,9,7,,,20,9,8,22,21,36,30,27,48,25,38,23,36,48,38,6,,7,,6],
   [,,8,,,8,,,,,18,17,34,28,17,39,21,30,,,34,30,,6,,,6,,6],
   [,,,8,8,,9,,,9,23,23,51,32,,86,,40,21,,,56,,,6,,6,6,,7]],
 [,[],[],[],[,6,,7],[],[,7,,8],[,,18],[,,,8,7,,8],[],[],
   [,22,,,,,,34,29],[,,50,,,,58,66],[,18,,,17,,22,,28,,,23,52],
   [,29,,,,,29,74,35,,,25,47],[,30,,63,,,30,96,65,,,30,82],
   [32,,,34,,,29,40,,,,,,24,27],[,,,,73,,52,68,69,,,,52,46,56,68],
   [32,24,33,,,,21,,,,,22,42,,,,23,49],[,40,54,,,,,40,,,,33,50,,,32,37,60],
   [],[,30,64,53,73,,34,,64,,,34,58,,,28,34,58],
   [6,,,,5,,6,,,,,,,,,,21,,20],[],
   [,6,,,6,,7,,7,,,22,,18,28,30,26,,23,38,,30],
   [,6,,7,5,,6,,7,,,20,77,17,,,,61,17,44,,39,5,,6],
   [6,8,,9,,,8,20,9,,,24,40,,27,,,48,21,40,,48,6,,7],[],[],
   [6,6,16,7,5,,,16,7,,,,45,17,22,39,21,51,,35,,35,5,,6,5,6],[],
   [,6,,7,6,,7,,,,,23,64,18,,40,25,48,,,,,,,6,6,7,,,6],
   [6,8,20,9,,,8,,9,,,25,52,31,30,,27,60,21,38,,40,6,,7,,6,,,6,,7]],
 [,[],[],[],[],[],[],[],[,,,,,,52],[,,,,,,38],[30,,,,,,,58],
   [],[],[30,,,,,,,,,,15],[,,,,,,185,84,,,29],[],
   [,,,,,,175,122,,217,,,,26,34],[,,,,,224,314,,,,,,,43],
   [,,,,,,132,,,,26,,,,24,,,58],[,,,,,,,92,,,37,,,,,,,53],
   [,,,,,,,176,,,,,,37,49,,,33,71,57],
   [158,,,,,362,350,136,,,,,,,,,86,49,,35,47],
   [20,,,,,98,40,,,44,60,,,60,,,86,,,,202,202],[],[],
   [20,,,,,98,,98,,54,57,,,55,,,,195,70,191,181,219,20],
   [,,,,,,61,,63,63,,,,,99,,114,196,102,271,274,330,30],
   [20,,,,,,,,44,,60,,,60,95,,93,156,93,150,168,180,20,,,20,29],
   [,,,,,,,73,,,,,,358,,,168,,147,,,289,,,,82,114],[],
   [,,,,,,,,,,129,,,358,139,,166,293,,,260,285,,,,,,,76],
   [,,,,,,52,,,60,112,,,,,,127,,108,,302,460,,,,34,35,30],
   [42,,,,,,,,,,,,,130,101,,119,212,111,,265,255,29,,,,24,29,,,,34],
   [42,,,,,,40,207,56,,,,,125,146,,134,,109,219,,335,29,,,31,34,,,,,39,34]],
 [,[],[],[],[,15,,35],[,,20],[,,,25],[,,20,,,20],[,,,22,,,25],
   [,,,25,,,22,,25],[30,,,,,,,52],[],[,,98,,540,,439,106],
   [30,45,48,72,45,54,72,54,72,72,15],[],[],[,,,,91,,,,,148,,,,29],
   [],[,,,101,68,89,,,,,,,115,,,,32],[,,106,,,,,98,,,43,,51],
   [,,,,,,,114,,,,,35,37,,,,,,47],
   [,145,102,250,175,142,206,92,272,,37,,53,,,,,,,35,49],
   [20,,,,,,48,,,42,60,,,60,,,89,,,,188,204],
   [,,,,,34,,35,,,,,,63,,,78,,147,,412,127],
   [,27,,,30,356,41,,34,39,,,,87,,,146,,100,381,462,207],
   [20,27,32,34,27,32,34,32,34,34,57,,189,45,,,,,63,189,169,,20,25,27],
   [],[20,36,,56,,,,,52,,60,,,60,,,90,,102,,,180,20,,35,20],
   [,,34,,,,,34,,,,,,69,,,143,,121,,,155,,25,,25],
   [,30,236,41,27,,,227,39,34,,,353,87,,,126,,104,,304,227,,,30,27],
   [,,,,,35,,,,,109,,211,69,,,80,,,,,143,,25,,25,,,25],
   [,27,,34,30,364,40,,,,,,380,87,,,126,,99,,,279,,,27,27,,32,,30],[],
   [,30,,,27,,34,,,,,,442,87,,,,,99,,,187,34,,30,27,,,,27,,30],
   [10,,,,,40,,,42,,15,,,15,,,32,,,,61,49,20,,,18,,20,,,76]],
 [,[],[],[],[],[],[],[],[],[,32,,52,,,,,52],[30,,,,,,,52],
   [,,,,,,,63],[,,,,,,,94],[30,,,,,,,,,165,15,20,25],[,,,,,,,,,,20,25,30],
   [,,,,,,,,,,25,30,35],[72,,,321,,,,70,,,,20,,20,25,30],
   [,,,,,,,94,,,,,25,25,30,35],[72,98,,,,,,,,128,20,25,30,,20,,25,30],
   [,139,,,,,,76,,,25,30,35,,,25,30,35],
   [,,,,,,,94,,,,,25,25,30,35,,25,30,35],
   [,,,,,,,76,,,25,30,35,,,25,30,35,,25,35],
   [20,,,,,,,,,40,60,,,60,,,95,186,92,,156,174],
   [,,,,,,,,,,,,,126,118,199,,169,117,202,,193],
   [,29,,,,,,,46,50,,,,130,125,155,,346,116,179,324],
   [20,29,,,,,,,,54,57,69,151,53,,,,159,75,161,157,151,20,,28],
   [,50,,72,,,,117,74,78,101,99,145,,103,,,,101,,148,250,29,118,35],
   [20,30,,44,,,,,46,,60,77,100,60,77,100,77,100,77,100,100,100,20,,29,20,
     29],[],[],[,,,,,,,,,,120,123,198,,,,123,199,,,202,,,,,78,112],
   [,29,,44,,,,,,56,124,125,183,,,,,,113,,160,,,,29,28,35,29],
   [,,,73,,,,,,57,104,94,176,,98,202,107,163,95,181,180,152,,,34,,24,30,,,,
     34],[,43,,62,,,,,,,,128,249,136,141,161,167,769,115,168,,180,29,,41,
     31,34,,,,,,34],[10,,,,,,,,48,42,15,,,15,24,,27,39,24,,,37,20,,,18,34,
     20,,,79,,,33],[10,,,48,,,,38,,48,15,,37,15,,,,,27,39,,,20,79,40,18,,
     20,,,,33,,,5]],
 [,[],[],[],[,15,,20],[,,20],[,20,,25],[,,20,,,20],
   [,,,20,20,,25],[,20,,25,,,20,,25],[30],[,53,,,,,74,72,101,92],
   [,,,,,,468,112],[30,45,48,72,45,54,72,54,72,72,15,,37],[],
   [,,98,,,146,140,128,,284,,86,49],[],[],
   [,53,72,111,,97,,,,72,23,,58],[,,112,,,,,90,,,31,,53,,,35],
   [,,92,,,,400,,,,,,33,37],[],[20,,,,25,64,32,,,32,60,,,60,,,,,,,188],
   [,,,,,35,,34,,,,,,63,,137,,,113,223],
   [,25,,,30,84,37,,,37,,91,,87,,263,,,91,,243],
   [20,25,32,32,25,32,32,32,32,32,57,61,183,45,,,,,61,,,,20,25,25],
   [30,,44,44,51,44,44,44,44,44,93,84,184,,,,,,84,254,184,,25,30,30],
   [20,25,64,32,,,,64,32,,60,,150,60,,,,,109,152,,,20,,25,20,25],
   [,,35,,,,,,,,,131,,69,,183,,,,,,,,25,,25,30],
   [30,30,84,37,25,,,84,37,39,,97,243,87,,,,,,227,,,25,,30,25,30],
   [,,35,,,38,,,,,,105,208,69,,149,,,,,,,,25,,25,30,,25],
   [,25,,45,30,84,37,,,37,125,91,,87,,253,,,91,,217,,,,25,25,30,25,,30],
   [30,,44,44,,44,44,44,44,44,91,84,228,,,573,,,84,206,236,,25,30,30,,20,
     25,30,30,30,30],[30,30,84,37,25,,,84,37,,,118,251,87,,219,,,98,191,,
     ,25,,30,25,30,,,25,,30,30],
   [10,,,,,,38,38,,40,15,,,15,,,,,25,35,33,,20,,,18,26,20,79,,,32,26],
   [10,15,20,23,15,20,23,20,23,23,15,,49,15,,,,,,,,,20,25,28,15,,20,25,28,
     25,28,,28,5],[10,25,,40,,,,,38,,15,25,39,15,,37,,,,33,35,,20,79,29,
     18,26,20,,,79,29,26,32,5,5]],
 [,[],[],[],[],[],[],[,,,,,10],[,,,,18,,24],[],[6,,,,15,,,8],
   [],[],[6,,,,,10,26,10,,,6],[,,,,,,30,10,,,7],[18,,,,,18,28,14,,,8],
   [8,,,,19,,,10,,,,,,7,8,9],[18,,,,,,,22,,,,,,16,17,18],
   [8,,,,16,11,24,,,,7,,,,8,,8,17],[,,,,,,,12,,,8,,,,,9,9,18],[],
   [18,,,,,18,34,12,,,8,,,,,9,9,18,,9],
   [12,,,,17,20,22,,,,12,,,12,,28,15,32,15,,,26],[],[],
   [12,,,,19,15,,15,,,11,,,10,,,,41,12,26,,26,12],
   [18,,,,23,22,32,22,,,16,,,,15,,21,48,17,38,,40,16],
   [12,,,,,,,20,24,,12,,,12,15,20,,,15,20,,20,12,,,12,18],
   [,,,,,,,17,,,,,,14,,24,17,,16,,,24,,,,12,16],
   [18,,,,17,,,28,29,,18,,,,26,,22,,20,37,,37,16,,,18,18],
   [,,,,,17,,,,,13,,,14,13,18,14,35,,,,20,,,,12,16,,14],
   [,,,,23,32,28,,,,18,,,21,,49,,,19,,,61,,,,18,22,18,,22],
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     16,23],[18,,,,19,,22,28,33,,,,,21,22,30,24,,19,27,,29,16,,,18,18,,,
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--> --------------------

--> maximum size reached

--> --------------------